Question

How do you simplify r times the square root of r − 3 times r times the square root of r + 4 times r times the square root of r?

Answer 1

`r^3sqrt(r(r-3)(r+4))`

Explanation:

"r times the square root of r-3" is:
`r timessqrt(r-3)`

"times r times the square root of r+4" is:
`times r times sqrt(r+4)`

"times r times the square root of r" is:
`times r times sqrtr`

Putting it together:
`r timessqrt(r-3) times r times sqrt(r+4) times r times sqrtr`

= `r^3sqrt(r(r-3)(r+4))`